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Finding the Fourth Proportional to 307.70, 459.08 and 294.18

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Solution

The fourth proportional to 307.70, 459.08 and 294.18 is: 438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.70 : 459.08 = 294.18 : x
  2. Step 2: Convert to fraction form
    307.70/459.08 = 294.18/x
  3. Step 3: Cross multiply
    307.70x = 459.08 × 294.18
  4. Step 4: Simplify right side
    307.70x = 135,052.15
  5. Step 5: Solve for x
    x = 135,052.15/307.70
  6. Step 6: Final answer
    x = 438.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.